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Entwined Modules over Linear Categories and Galois Extensions

Balodi, M and Banerjee, A and Ray, S (2021) Entwined Modules over Linear Categories and Galois Extensions. In: Israel Journal of Mathematics .


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Official URL: https://doi.org/10.1007/s11856-021-2108-2


In this paper, we study modules over quotient spaces of certain categorified fiber bundles. These are understood as modules over entwining structures involving a small K-linear category D and a K-coalgebra C. We obtain Frobenius and separability conditions for functors on entwined modules. We also introduce the notion of a C-Galois extension �� D of categories. Under suitable conditions, we show that entwined modules over a C-Galois extension may be described as modules over the subcategory � of C-coinvariants of D. © 2021, The Hebrew University of Jerusalem.

Item Type: Journal Article
Publication: Israel Journal of Mathematics
Publisher: Hebrew University Magnes Press
Additional Information: The copyright for this article belongs to Hebrew University Magnes Press
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 24 Mar 2021 09:27
Last Modified: 24 Mar 2021 09:27
URI: http://eprints.iisc.ac.in/id/eprint/68531

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